To compare the volumes of the two boxes and determine the scale factor, we will first find the ratio of the volumes.
- The volume of the first box (larger box) is 648 inches³.
- The volume of the second box (smaller box) is 24 inches³.
The scale factor can be found by the formula:
\[ \text{Scale Factor} = \sqrt[3]{\frac{\text{Volume of larger box}}{\text{Volume of smaller box}}} \]
Calculating this:
\[ \text{Scale Factor} = \sqrt[3]{\frac{648}{24}} = \sqrt[3]{27} = 3 \]
So, the scale factor between the two boxes is 3:1.
The correct answer is:
3
1 answer